Solving question 2.
We need to find the length of side b by using the Pythagorean Theorem.
The Pythagorean theorem is as follows:
[tex]a^2+b^2=c^2[/tex]Where a and b are the legs of the right triangle and c is the hypotenuse.
We have in the image that the hypotenuse (the side in front of the right angle) for this triangle is 25.
[tex]c=25[/tex]And we know of the legs of the triangle which we will call a:
[tex]a=15[/tex]Substituting these values into the Pythagorean Theorem:
[tex]15^2+b^2=25^2[/tex]We solve the operations by squaring the number:
[tex]225+b^2=625[/tex]now, to solve for b, we need to leave it alone at one side of the equation. For that, we subtract 225 to both sides of the equation:
[tex]\begin{gathered} b^2=625-225 \\ b^2=400 \end{gathered}[/tex]Finally, to find b, we take the square root of both sides of the equation:
[tex]\begin{gathered} \sqrt[]{b^2}=\sqrt[]{400} \\ b=\sqrt[]{400} \\ b=20 \end{gathered}[/tex]Answer: b=20